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Title: A remark on the approximation theorems of Whitney and Carleman-Scheinberg (English)
Author: Johanis, Michal
Language: English
Journal: Commentationes Mathematicae Universitatis Carolinae
ISSN: 0010-2628 (print)
ISSN: 1213-7243 (online)
Volume: 56
Issue: 1
Year: 2015
Pages: 1-6
Summary lang: English
Category: math
Summary: We show that a $C^k$-smooth mapping on an open subset of $\mathbb R^n$, $k\in \mathbb N\cup\{0,\infty\}$, can be approximated in a fine topology and together with its derivatives by a restriction of a holomorphic mapping with explicitly described domain. As a corollary we obtain a generalisation of the Carleman-Scheinberg theorem on approximation by entire functions. (English)
Keyword: approximation
Keyword: real-analytic
Keyword: entire functions
MSC: 41A30
MSC: 46T20
MSC: 46T25
idZBL: Zbl 06433801
idMR: MR3311573
DOI: 10.14712/1213-7243.015.101
Date available: 2015-03-10T17:29:13Z
Last updated: 2017-04-03
Stable URL:
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